SOLUTION: |x| = 2 |x| = 1 |x| = -5 (Change these three solutions into three separate graphs)

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Question 1018763: |x| = 2
|x| = 1
|x| = -5
(Change these three solutions into three separate graphs)

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
you can graph all of the problems on the same graph.

first you draw the graph of y = abs(x).

then you draw the graph of y = 2, y = 1, and y = -5.

the intersection of the graph of y = abs(x) and y = 2 and y = 1 and y = -5 contains your solutions.

when abs(x) = 2, then x = plus or minus 2.

when abs(x) = 1, then x = plus or minus 1.

when abs(x) = -5, there is no solution because the absolute value of a number can never be negative.

you can see that on the graph, because the lines of y = 1 and y = 2 intersect with the graph of y = abs(x), while the line of y = -5 doesn't.

here's the graph.